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Two-stack-sorting with Pop Stacks by Pudwell, Lara; Smith, Rebecca is a scholarly article available to read on EtoBox.

What is Two-stack-sorting with Pop Stacks about?

We consider the set of permutations that are sorted after two passes through a pop stack. We characterize these permutations in terms of forbidden patterns (classical and barred) and enumerate them according to the ascent statistic. Then we show these permutations to be in bijection with a special family of polyominoes. As a consequence, the permutations sortable by this machine are shown to have the same enumeration as three classical permutation classes.

Author

Pudwell, Lara; Smith, Rebecca

Published

2018

Language

EN